In this paper we will consider tight upper- and lower-bounds on the weight of the optimal matching for random point sets distributed among the leaves of a tree, as a function of it...
We present a rst randomized Ologk n time and On+m work CRCWPRAM algorithm for nding a spanning forest of an undirected dense graph with n vertices. Furthermore we construct a rando...
Anders Dessmark, Carsten Dorgerloh, Andrzej Lingas...
Machine learning with few training examples always leads to over-fitting problems, whereas human individuals are often able to recognize difficult object categories from only one ...
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...
Consider a connected r-regular n-vertex graph G with random independent edge lengths, each uniformly distributed on [0, 1]. Let mst(G) be the expected length of a minimum spanning...